8937
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13280
- Proper Divisor Sum (Aliquot Sum)
- 4343
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5940
- Möbius Function
- 0
- Radical
- 993
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 96
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers ending with '7' that are the difference of two positive cubes.at n=41A038862
- a(n) = (n+3)^3 - n^3.at n=29A038865
- Smallest k for which k, 2k, ... nk all contain the digit 8.at n=4A039939
- a(0) = 0, a(1) = 1, a(2*n) = n*a(2*n-1) + a(2*n-2), a(2*n+1) = a(2*n) + a(2*n-1).at n=12A056921
- Smallest number whose square has sum of digits A056991(n).at n=27A067179
- Square roots of A068809.at n=20A068947
- Numbers k such that gcd(k, reverse(k)) = 27 = 3^3, where reverse(x) = A004086(x).at n=35A072016
- Numbers k such that 6*k! + 1 is prime.at n=28A076682
- Numbers k such that k and k^2 use only the digits 3, 6, 7, 8 and 9.at n=14A137137
- Number of lines through at least 2 points of a 5 X n grid of points.at n=40A160845
- Triangle T(n,k) read by rows: T(n,k) = (m*n - m*k + 1)*T(n - 1, k - 1) + k*(m*k - (m - 1))*T(n - 1, k) where m = 2.at n=18A166961
- Partial sums of A106116.at n=41A173112
- Numbers n such that n^2 contains no digit less than 5.at n=39A175471
- 1/9 the number of (n+1) X 9 0..2 arrays with all 2 X 2 subblocks having the same four values.at n=11A184047
- G.f. satisfies: A(x) = exp( Sum_{n>=1} (Sum_{k=0..n} C(n,k)^3 * x^k*A(x)^k) * x^n*A(x)^n/n ).at n=7A200215
- Antidiagonal sums of triangle A227372.at n=9A227373
- The hyper-Wiener index of the graph obtained by applying Mycielski's construction to the star graph K(1,n).at n=37A228319
- Number of partitions of n such that the absolute value of the difference between the number of odd parts and the number of even parts is <=1.at n=41A239835
- Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime.at n=3A251942
- Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime.at n=3A251946